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Simplifying 6c + 46 = c + -114 Reorder the terms: 46 + 6c = c + -114 Reorder the terms: 46 + 6c = -114 + c Solving 46 + 6c = -114 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 46 + 6c + -1c = -114 + c + -1c Combine like terms: 6c + -1c = 5c 46 + 5c = -114 + c + -1c Combine like terms: c + -1c = 0 46 + 5c = -114 + 0 46 + 5c = -114 Add '-46' to each side of the equation. 46 + -46 + 5c = -114 + -46 Combine like terms: 46 + -46 = 0 0 + 5c = -114 + -46 5c = -114 + -46 Combine like terms: -114 + -46 = -160 5c = -160 Divide each side by '5'. c = -32 Simplifying c = -32
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